Pith Number

pith:IJOT7L4E

pith:2011:IJOT7L4E5AC7WU27WINHXJDSXF

not attested not anchored not stored refs pending

On double Hurwitz numbers with completed cycles

D. Zvonkine, L. Spitz, S. Shadrin

arxiv:1103.3120 v1 · 2011-03-16 · math.CO · math.AG

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{IJOT7L4E5AC7WU27WINHXJDSXF}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Receipt and verification

First computed	2026-05-18T02:58:01.119378Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

425d3faf84e805fb535fb21a7ba472b956f2902acfdf37d3114e7b6c7d37c35a

Aliases

arxiv: 1103.3120 · arxiv_version: 1103.3120v1 · doi: 10.48550/arxiv.1103.3120 · pith_short_12: IJOT7L4E5AC7 · pith_short_16: IJOT7L4E5AC7WU27 · pith_short_8: IJOT7L4E

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/IJOT7L4E5AC7WU27WINHXJDSXF \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: 425d3faf84e805fb535fb21a7ba472b956f2902acfdf37d3114e7b6c7d37c35a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8cc66769ea7cea210a974dc8b59dd7e8921c5c6868b04a15fecdc2b5a646ed8d",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2011-03-16T07:58:48Z",
    "title_canon_sha256": "e5231d6fb5c236007b309421f5718cfa9527002270f28831a9f88ef9d3b086f0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1103.3120",
    "kind": "arxiv",
    "version": 1
  }
}